The weight of 10,000 identical samples of a substance is 100 pounds. What is the weight of 10 samples?

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Feb 21, 2018

Answer:

See a solution process below:

Explanation:

We can write and solve the ratio as:

#x/(10"samples") = (100"lbs")/(10000"samples")#

#color(red)(10"samples") xx x/(10"samples") = color(red)(10"samples") xx (100"lbs")/(10000"samples")#

#cancel(color(red)(10"samples")) xx x/color(red)(cancel(color(black)(10"samples"))) = color(red)(10color(black)(cancel(color(red)("samples")))) xx (100"lbs")/(10000color(red)(cancel(color(black)("samples"))))#

#x= color(red)(10) xx (100"lbs")/(10000)#

#x= (1000"lbs")/(10000)#

#x= (1color(red)(cancel(color(black)(000)))"lbs")/(10color(red)(cancel(color(black)(000))))#

#x= 1/10"lbs"#

Or

#x= 0.1"lbs"#

The 10 samples should weigh #1/10# or #0.1# pounds.

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